Question

if 4 cot a = 3 show that sin a - cos a / sin a + cos a =1/7​

Answer 1

Answer:

Step-by-step explanation:

so cot a = 3/4

then cosec a = 1+9/16= 25/16 under root

so cosec a = 5/4 then sin a is inverse of cosec a so sin a will be = 4/5

then cos a = 1-16/25 by substituting in the formula sin square theta + cos square theta = 1

so cos a will be 3/5

so your answer will be = (4/5-3/5)/(4/5+3/5)

= 1/5 / 7/5 = 1/7

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